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definition as per * [[Graham Ellis]]. *A non-abelian tensor product of Lie algebras*. Glasgow Mathematical Journal, 33(1), pp.101-120. ([doi](https://doi.org/10.1017/S0017089500008107)) <a href="https://ncatlab.org/nlab/revision/tensor+product+of+Lie+algebras/1">v1</a>, <a href="https://ncatlab.org/nlab/show/tensor+product+of+Lie+algebras">current</a>
definition as per
v1, current